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(PDF) Timoshenko Beam-Column with Generalized End .

Timoshenko [6,7] was the first to analyze the simultaneous coupling effects between bending and shear deformations, and between translational and rotational inertias in beams (that is why the term Timoshenko beam has been widely utilized in the technical literature). Numerous studies have been carried out to investigate these coupling effects.

Timoshenko beam-based stability and natural frequency .

Timoshenko beam-based stability and natural frequency analysis for heavy ... In this paper, Timoshenko beam theory is introduced to model the mechanical spindle shaft, where the centrifugal force ...

Timoshenko beam-based stability and natural frequency .

It is necessary to obtain the natural frequency and analyze the spindle stability for improving the machining precision. In this paper, Timoshenko beam theory is introduced to model the mechanical spindle shaft, where the centrifugal force and gyroscopic effects are considered.

Bending and Free Vibration Analysis of Nonlocal .

Bending and Free Vibration Analysis of Nonlocal Functionally Graded Nanocomposite Timoshenko Beam Model Rreinforced by SWBNNT Based on ... stress based on Timoshenko beam theory. They ... particle and elastic medium constant on the natural frequency of the micro-beam. Rahmati and Mohammadimehr [9] analyzed the electro-thermo- ...

FREE VIBRATION ANALYSIS OF A PRETWISTED FUNCTIONALLY .

compression, shears, moments and torque on the natural vibration of pre-twisted straight beam based on the Timoshenko theory. Chen[18,19] has found the influence of thickness- to-width ratio, twist angle, spinning speed and axial load on the natural frequency, buckling load and instability zone of a pre-twisted Timoshenko beams by using

General Analysis of Timoshenko Beams on Elastic Foundati

General analytical solutions for stability, free and forced vibration of an axially loaded Timoshenko beam resting on a two-parameter foundation subjected to nonuniform lateral excitation are obtained using recursive differentiation method (RDM). Elastic restraints for rotation and translation are assumed at the beam ends to investigate the effect of support weakening on the beam behavior.

New hybrid approach for free vibration and stability .

functionally graded (FG) beam having rectangular cross-section by employing the Generalized Differential Quadrature Method (GDQM). Recently, Soltani and Asgarian (2019) performed the stability analysis of cantilever axially functionally graded non-prismatic Timoshenko beam through a new finite element model based on power series approximation.

1181. A research on the dynamic characteristics of axially .

the axially moving beam under axial load is established based on the Timoshenko beam theory ... studied the dynamic characteristics and stability of an axially moving beam with infinite parts under different boundary conditions by using the spectral element method. ... is the th ⁄natural frequency of beam.

Smooth size design for the natural frequencies of curved .

Designing the variable size based on the traditional finite element methods often leads to non-smooth solutions. To guarantee the smoothness of size distribution, an isogeometric analysis (IGA)-based design approach is proposed in this work to optimize the cross-section size of curved Timoshenko beams for natural frequencies.

Timoshenko beam-based stability and natural frequency .

Timoshenko beam-based stability and natural frequency analysis for heavy load mechanical spindles Article (PDF Available) in Journal of Mechanical Science and Technology 26(11) · November 2013 ...

Finite Element Formulation for Stability and Free .

A two-node element is suggested for analyzing the stability and free vibration of Timoshenko beam. Cubic displacement polynomial and quadratic rotational fields are selected for this element. Moreover, it is assumed that shear strain of the element has the constant value. Interpolation functions for displacement field and beam rotation are exactly calculated by employing total beam energy and ...

Isogeometric vibration analysis of small-scale Timoshenko .

Timoshenko beams based on the most comprehensive size-dependent theory ... scale and nonlocal parameters on the natural frequencies of beams under various types ... Sedighi et al. [25] utilized the Euler-Bernoulli beam model to investigate the stability of NEMS with the consideration of conductivity, surface energy, and non-local e ects. Also ...

Bending, Free Vibration, and Buckling Analysis of .

by Chen at al. [9] based on Timoshenko beam theory. Their study showed that as the porosity and the slenderness of the beam increased, the critical buckling load decreased and the maximum deflections obtained from bending analysis increased. Moreover, the buckling and the bending analysis were significantly affected by the porosity distribution.

Finite Element Formulation for Stability and Free .

A two-node element is suggested for analyzing the stability and free vibration of Timoshenko beam. Cubic displacement polynomial and quadratic rotational fields are selected for this element. Moreover, it is assumed that shear strain of the element has the constant value. Interpolation functions for displacement field and beam rotation are exactly calculated by employing total beam energy and ...

VERTICAL VIBRATION ANALYSIS OF VARIABLE CROSS- SECTION .

VERTICAL VIBRATION ANALYSIS OF VARIABLE CROSS-SECTION TIMOSHENKO DOUBLE-BEAM SYSTEM WITH DISCRETELY CONNECTED SPRINGS Jian Wang, Zhiyang Lei, Jinpeng Su and Hongxing Hua State Key Laboratory of Mechanical System and Vibration, Institute of Vibration Shock & Noise, Shanghai Jiaotong University, Dongchuan Road800,200240Shanghai, China

Research Article Transverse Vibration of Axially Moving .

Transverse Vibration of Axially Moving Functionally Graded Materials Based on Timoshenko Beam Theory ... erences of natural frequencies for Timoshenko beam model and Euler beam model. Moreover, the critical speed is determined ... and stability of an axially moving Timoshenko beam with an intraspan spring-support. All the literatures using axially

Bending, Free Vibration, and Buckling Analysis of .

by Chen at al. [9] based on Timoshenko beam theory. Their study showed that as the porosity and the slenderness of the beam increased, the critical buckling load decreased and the maximum deflections obtained from bending analysis increased. Moreover, the buckling and the bending analysis were significantly affected by the porosity distribution.

Physical insight into Timoshenko beam theory and its .

natural vibrations for different boundary conditions are given. Double frequency phenomenon for simply . supported beam is investigated. The Timoshenko beam theory is modified by decomposition of total . deflection into pure bending. deflection and shear deflection, and total rotation into bending rotation and . axial shear angle.

Analysis of Vehicle-Track Coupling Vibration Based on .

Based on the theory of vehicletrack coupling dynamics, a model of vehicletrack coupling vibration is established, in which a rail is assumed to be a Timoshenko beam ...

Stability analysis of axially moving Timoshenko beam made .

The governing differential equations of axially moving Timoshenko beam made of functionally graded material were presented based on the Hamilton principle.A single fourth ...